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Finding the Fourth Proportional to 696,228.48, 960,723.06 and 409,731.48

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Solution

The fourth proportional to 696,228.48, 960,723.06 and 409,731.48 is: 565,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,228.48 : 960,723.06 = 409,731.48 : x
  2. Step 2: Convert to fraction form
    696,228.48/960,723.06 = 409,731.48/x
  3. Step 3: Cross multiply
    696,228.48x = 960,723.06 × 409,731.48
  4. Step 4: Simplify right side
    696,228.48x = 393,638,481,243.93
  5. Step 5: Solve for x
    x = 393,638,481,243.93/696,228.48
  6. Step 6: Final answer
    x = 565,386.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.